Wednesday, 22 October 2014

Binary Search Tree - Finding minimum and maximum

This program illustrates how to find the minimum and maximum from a Binary Search Tree.

#include<stdio.h>
#include<stdlib.h>

struct BSTNode
{
       /*
        * this is the basic structure representing a node of the Tree
        */
    int key; // key stores the data part of the node.
    struct BSTNode *left,*right,*parent;
    /*
     * the left pointer points to the left child
     * right pointer points to the right child
     * parent points to the parent of this node.
     */
};

struct BST
{
       /*
        * Any binary search tree can be identified alone by its root.
        */
    struct BSTNode *root;
};

struct BSTNode*makeNode(int key)
{
    struct BSTNode*newNode;
    newNode=(struct BSTNode*)malloc(sizeof(struct BSTNode));
    newNode->key=key;
    newNode->left=newNode->right=newNode->parent=NULL;
    return newNode;
}

void inorderTraversal(struct BSTNode*root)
{
    if(root==NULL)
        return;
    inorderTraversal(root->left);
    printf("%d ",root->key);
    inorderTraversal(root->right);
}

/*
    the treeMinimum and treeMaximum function takes a node 'x' as input
    returns the minimum and maximum node of the sub tree rooted at x
*/

struct BSTNode*treeMinimum(struct BSTNode*node)
{
   while(node->left!=NULL)
        node=node->left;
   return node;
}

struct BSTNode*treeMaximum(struct BSTNode*node)
{
    while(node->right!=NULL)
        node=node->right;
    return node;
}

void BSTInsert(struct BST*T,struct BSTNode*newNode)
{
    int direction;
    struct BSTNode*currentNode,*previousNode;
    if(T->root==NULL)
        T->root=newNode;
    else
    {
        currentNode=T->root;
        while(currentNode!=NULL)
        {
            previousNode=currentNode;
            if(currentNode->key > newNode->key)
                currentNode=currentNode->left;
            else
                currentNode=currentNode->right;
        }

        if(newNode->key < previousNode->key)
            previousNode->left=newNode;
        else
            previousNode->right=newNode;

        newNode->parent=previousNode;
    }
}

int main()
{
    struct BST*T;
    T=(struct BST*)malloc(sizeof(struct BST*));
    T->root=NULL;

    struct BSTNode **nodeArray;
    nodeArray=(struct BSTNode**)malloc(sizeof(struct BstNode*)*10);
    nodeArray[0]=makeNode(500);
    nodeArray[1]=makeNode(200);
    nodeArray[2]=makeNode(700);
    nodeArray[3]=makeNode(100);
    nodeArray[4]=makeNode(300);
    nodeArray[5]=makeNode(400);
    nodeArray[6]=makeNode(600);
    nodeArray[7]=makeNode(0);
    nodeArray[8]=makeNode(900);
    nodeArray[9]=makeNode(800);

    BSTInsert(T,nodeArray[0]);
    BSTInsert(T,nodeArray[1]);
    BSTInsert(T,nodeArray[2]);
    BSTInsert(T,nodeArray[3]);
    BSTInsert(T,nodeArray[4]);
    BSTInsert(T,nodeArray[5]);
    BSTInsert(T,nodeArray[6]);
    BSTInsert(T,nodeArray[7]);
    BSTInsert(T,nodeArray[8]);
    BSTInsert(T,nodeArray[9]);

    printf("%d\n",treeMaximum(nodeArray[2])->key);
    printf("%d\n",treeMinimum(nodeArray[1])->key);

    return 0;
}


For complete program of Binary search Tree in C visit here and here (for program as per guidelines provided by Cormen)

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